How do I write this formula in latex?

I tried this:
\big(f(x,b)\big)'_x|_{x=a}
but the result is different from what I want (the line is shorter).
I understand that this is probably a simple question but I can't find the answer probably because I can't find good words for the search


\left.\bigl(f(x,b)\bigr)'_x\right|_{x=a}? – May 05 '21 at 01:34